Finding the Third Proportional to 53,230.50 and 116,829

Step by Step Solution

1. Step 1: Write the proportion equation
   53,230.50 : 116,829 = 116,829 : x
2. Step 2: Convert to fraction form
   53,230.50/116,829 = 116,829/x
3. Step 3: Cross multiply
   53,230.50x = 116,829 × 116,829
4. Step 4: Simplify right side
   53,230.50x = 13,649,015,241
5. Step 5: Solve for x
   x = 13,649,015,241/53,230.50
6. Step 6: Final answer
   x = 256,413.43